An introduction to mathematics of emerging biomedical imaging:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2008
|
| Schriftenreihe: | Mathématiques & applications
62 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 189 - 195 |
| Beschreibung: | X, 198 S. graph. Darst. |
| ISBN: | 9783540795520 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS BIOMEDICAL IMAGING MODALITIES 3 1.1 X-RAY IMAGING AND COMPUTED
TOMOGRAPHY 3 1.2 MAGNETIC RESONANCE IMAGING 4 1.3 ELECTRICAL IMPEDANCE
TOMOGRAPHY 5 1.4 T-SCAN ELECTRICAL IMPEDANCE IMAGING SYSTEM FOR ANOMALY
DETECTION 7 1.5 ELECTRICAL AND MAGNETIC SOURCE IMAGING 7 1.6 MAGNETIC
RESONANCE ELECTRICAL IMPEDANCE TOMOGRAPHY 9 1.7 IMPEDIOGRAPHY 10 1.8
ULTRASOUND IMAGING 11 1.9 MICROWAVE IMAGING 12 1.10 ELASTIC IMAGING 12
1.11 MAGNETIC RESONANCE ELASTOGRAPHY 12 1.12 OPTICAL TOMOGRAPHY 13 PART
I MATHEMATICAL TOOLS 2 PRELIMINARIES 17 2.1 SPECIAL FUNCTIONS 17 2.2
SOBOLEV SPACES 20 2.3 FOURIER ANALYSIS 21 2.3.1 SHANNON S SAMPLING
THEOREM 23 2.3.2 FAST FOURIER TRANSFORM 24 2.4 THE TWO-DIMENSIONAL RADON
TRANSFORM 25 2.5 THE MOORE-PENROSE GENERALIZED INVERSE 28 2.6 SINGULAR
VALUE DECOMPOSITION 28 2.7 COMPACT OPERATORS 29 2.8 REGULARIZATION OF
ILL-POSED PROBLEMS 30 2.8.1 STABILITY 30 2.8.2 THE TRUNCATED SVD 32
GESCANNT DURCH BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/988058332
DIGITALISIERT DURCH * * * * * * * X CONTENTS 8.3.1 FOURIER- AND
MUSIC-TYPE ALGORITHMS 157 8.3.2 TIME-REVERSAL IMAGING 159 PART IV HYBRID
IMAGING TECHNIQUES 9 MAGNETIC RESONANCE ELECTRICAL IMPEDANCE TOMOGRAPHY.
... 169 9.1 MATHEMATICAL MODEL 170 9.2 J-SUBSTITUTION ALGORITHM 172 9.3
THE HARMONIC ALGORITHM 174 10 IMPEDIOGRAPHY 177 10.1 PHYSICAL MODEL 177
10.2 MATHEMATICAL MODEL 178 10.3 E-SUBSTITUTION ALGORITHM 180 11
MAGNETIC RESONANCE ELASTOGRAPHY 183 11.1 MATHEMATICAL MODEL 183 11.2
BINARY LEVEL SET ALGORITHM 185 REFERENCES 189 INDEX 197
|
| adam_txt |
CONTENTS BIOMEDICAL IMAGING MODALITIES 3 1.1 X-RAY IMAGING AND COMPUTED
TOMOGRAPHY 3 1.2 MAGNETIC RESONANCE IMAGING 4 1.3 ELECTRICAL IMPEDANCE
TOMOGRAPHY 5 1.4 T-SCAN ELECTRICAL IMPEDANCE IMAGING SYSTEM FOR ANOMALY
DETECTION 7 1.5 ELECTRICAL AND MAGNETIC SOURCE IMAGING 7 1.6 MAGNETIC
RESONANCE ELECTRICAL IMPEDANCE TOMOGRAPHY 9 1.7 IMPEDIOGRAPHY 10 1.8
ULTRASOUND IMAGING 11 1.9 MICROWAVE IMAGING 12 1.10 ELASTIC IMAGING 12
1.11 MAGNETIC RESONANCE ELASTOGRAPHY 12 1.12 OPTICAL TOMOGRAPHY 13 PART
I MATHEMATICAL TOOLS 2 PRELIMINARIES 17 2.1 SPECIAL FUNCTIONS 17 2.2
SOBOLEV SPACES 20 2.3 FOURIER ANALYSIS 21 2.3.1 SHANNON'S SAMPLING
THEOREM 23 2.3.2 FAST FOURIER TRANSFORM 24 2.4 THE TWO-DIMENSIONAL RADON
TRANSFORM 25 2.5 THE MOORE-PENROSE GENERALIZED INVERSE 28 2.6 SINGULAR
VALUE DECOMPOSITION 28 2.7 COMPACT OPERATORS 29 2.8 REGULARIZATION OF
ILL-POSED PROBLEMS 30 2.8.1 STABILITY 30 2.8.2 THE TRUNCATED SVD 32
GESCANNT DURCH BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/988058332
DIGITALISIERT DURCH * * * * * * * X CONTENTS 8.3.1 FOURIER- AND
MUSIC-TYPE ALGORITHMS 157 8.3.2 TIME-REVERSAL IMAGING 159 PART IV HYBRID
IMAGING TECHNIQUES 9 MAGNETIC RESONANCE ELECTRICAL IMPEDANCE TOMOGRAPHY.
. 169 9.1 MATHEMATICAL MODEL 170 9.2 J-SUBSTITUTION ALGORITHM 172 9.3
THE HARMONIC ALGORITHM 174 10 IMPEDIOGRAPHY 177 10.1 PHYSICAL MODEL 177
10.2 MATHEMATICAL MODEL 178 10.3 E-SUBSTITUTION ALGORITHM 180 11
MAGNETIC RESONANCE ELASTOGRAPHY 183 11.1 MATHEMATICAL MODEL 183 11.2
BINARY LEVEL SET ALGORITHM 185 REFERENCES 189 INDEX 197 |
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| author | Ammari, Habib 1969- |
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| author_role | aut |
| author_sort | Ammari, Habib 1969- |
| author_variant | h a ha |
| building | Verbundindex |
| bvnumber | BV035075206 |
| classification_rvk | SK 950 YR 1600 |
| classification_tum | MED 385f |
| ctrlnum | (OCoLC)244066625 (DE-599)DNB988058332 |
| dewey-full | 616.07540151 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 616 - Diseases |
| dewey-raw | 616.07540151 |
| dewey-search | 616.07540151 |
| dewey-sort | 3616.07540151 |
| dewey-tens | 610 - Medicine and health |
| discipline | Medizintechnik Mathematik Medizin |
| discipline_str_mv | Medizintechnik Mathematik Medizin |
| format | Book |
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| index_date | 2024-07-02T22:05:19Z |
| indexdate | 2024-07-09T21:21:37Z |
| institution | BVB |
| isbn | 9783540795520 |
| language | English |
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| physical | X, 198 S. graph. Darst. |
| publishDate | 2008 |
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| publisher | Springer |
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| series | Mathématiques & applications |
| series2 | Mathématiques & applications |
| spelling | Ammari, Habib 1969- Verfasser (DE-588)129355119 aut An introduction to mathematics of emerging biomedical imaging Habib Ammari Berlin [u.a.] Springer 2008 X, 198 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathématiques & applications 62 Literaturverz. S. 189 - 195 Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Bildgebendes Verfahren (DE-588)4006617-4 gnd rswk-swf Bildgebendes Verfahren (DE-588)4006617-4 s Mathematische Methode (DE-588)4155620-3 s DE-604 Mathématiques & applications 62 (DE-604)BV006642035 62 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016743546&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ammari, Habib 1969- An introduction to mathematics of emerging biomedical imaging Mathématiques & applications Mathematische Methode (DE-588)4155620-3 gnd Bildgebendes Verfahren (DE-588)4006617-4 gnd |
| subject_GND | (DE-588)4155620-3 (DE-588)4006617-4 |
| title | An introduction to mathematics of emerging biomedical imaging |
| title_auth | An introduction to mathematics of emerging biomedical imaging |
| title_exact_search | An introduction to mathematics of emerging biomedical imaging |
| title_exact_search_txtP | An introduction to mathematics of emerging biomedical imaging |
| title_full | An introduction to mathematics of emerging biomedical imaging Habib Ammari |
| title_fullStr | An introduction to mathematics of emerging biomedical imaging Habib Ammari |
| title_full_unstemmed | An introduction to mathematics of emerging biomedical imaging Habib Ammari |
| title_short | An introduction to mathematics of emerging biomedical imaging |
| title_sort | an introduction to mathematics of emerging biomedical imaging |
| topic | Mathematische Methode (DE-588)4155620-3 gnd Bildgebendes Verfahren (DE-588)4006617-4 gnd |
| topic_facet | Mathematische Methode Bildgebendes Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016743546&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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